本文選題：氦氖激光器 + 混沌��； 參考：《燕山大學》2015年碩士論文

【摘要】：混沌是非線性科學發(fā)展中的重要理論之一,它揭示了自然界中普遍存在的復(fù)雜性。有時候混沌運動正是我們所需要的,而有些情況又會干擾系統(tǒng)的正常運行,這時又需要抑制混沌使系統(tǒng)回到正常的有序狀態(tài)。因此,在一些混沌顯得非常重要的場合,有目的的產(chǎn)生和控制混沌就顯得極為重要�；煦缈刂频哪康氖峭ㄟ^設(shè)計控制方法,達到消滅混沌或抑制混沌,使系統(tǒng)進入有序的周期運動。激光系統(tǒng)中存在著豐富的混沌現(xiàn)象,激光器的混沌產(chǎn)生和控制研究已成為當今科學領(lǐng)域中的關(guān)鍵性研究課題。由于氦氖激光器的輸出具有方向性好、單色性好、輸出功率和波長穩(wěn)定等特性,使其得到了廣泛的應(yīng)用和研究。本文主要的研究內(nèi)容如下:首先介紹了激光器和混沌的基本理論,根據(jù)半經(jīng)典理論,得到了單模非均勻加寬駐波激光器方程�；诖�,推導(dǎo)出了A類氦氖激光器的動力學方程及外腔反饋延時動力學方程。分析了氦氖激光器外腔反饋延時的混沌特性,討論了不同的反饋系數(shù)和延遲時間對激光混沌輸出的影響。通過對混沌控制方法的研究,提出了氦氖激光器反饋相位周期控制方法,建立了其動力學方程和理論模型,采用三種不同波長的相位周期控制方法,對激光輸出的周期態(tài)及混沌態(tài)進行了控制分析。雖然氦氖激光器在適當?shù)目刂葡驴梢杂煞�(wěn)定態(tài)進入混沌態(tài),激光輸出的混沌也可以被控制到周期態(tài),但由于其實驗成本較高,很難實現(xiàn)普遍應(yīng)用,所以大部分課題只是對其進行理論分析。基于此,根據(jù)氦氖激光器的動力學方程,建立了氦氖激光器光反饋下的動力學方程,并設(shè)計出了模擬電路,使電路實現(xiàn)氦氖激光器的動力學行為。通過改變激光動力學方程對應(yīng)模擬電路中電阻值的變化,對模擬電路的混沌輸出進行了仿真分析。驗證了電路的有效性和可靠性。
[Abstract]:Chaos is one of the important theories in the development of nonlinear science, which reveals the complexity that exists in nature. Sometimes the chaotic motion is exactly what we need, and some cases will interfere with the normal operation of the system, then it is necessary to suppress chaos to make the system return to the normal ordered state. Therefore, it is very important to produce and control chaos purposefully in some situations where chaos is very important. The purpose of chaos control is to eliminate chaos or suppress chaos by designing control methods, and to make the system enter into an orderly periodic motion. There are abundant chaotic phenomena in laser system. The study of chaos generation and control has become a key research topic in the field of science. The He-Ne laser has been widely used and studied because of its good directivity, good monochromatic, stable output power and wavelength. The main contents of this paper are as follows: firstly, the basic theory of laser and chaos is introduced. According to the semiclassical theory, the equation of single-mode nonuniform broadening standing wave laser is obtained. Based on this, the dynamic equation of A type He-Ne laser and the dynamic equation of external cavity feedback delay are derived. The chaotic characteristics of the feedback delay in the external cavity of He-Ne laser are analyzed, and the effects of different feedback coefficients and delay time on the chaotic output of the laser are discussed. Based on the study of chaos control method, a feedback phase period control method for He-Ne laser is proposed, its dynamic equation and theoretical model are established, and three phase period control methods with different wavelengths are adopted. The periodic and chaotic states of laser output are analyzed. Although the He-Ne laser can be controlled from a stable state to a chaotic state and the laser output chaos can also be controlled to a periodic state under proper control, it is difficult to achieve universal application due to the high experimental cost. So most of the topics are just theoretical analysis. Based on the dynamic equation of He-Ne laser, the dynamic equation of He-Ne laser under optical feedback is established, and an analog circuit is designed to realize the dynamic behavior of He-Ne laser. The chaotic output of the analog circuit is simulated by changing the laser dynamic equation corresponding to the change of the resistance value in the analog circuit. The validity and reliability of the circuit are verified.
【學位授予單位】：燕山大學
【學位級別】：碩士
【學位授予年份】：2015
【分類號】：TN248.2

【參考文獻】

相關(guān)期刊論文 前2條

1 趙明成;朱洪波;賈琛霞;;OGY法控制Henon系統(tǒng)混沌的研究[J];機械;2010年10期

2 呂可誠;三縱模He-Ne(6328，

本文編號：2031448